Lightweight spaceship
| Lightweight spaceship | |||||||||
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| Pattern type | Spaceship | ||||||||
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| Family | XWSS | ||||||||
| Number of cells | 9 | ||||||||
| Bounding box | 5 × 4 | ||||||||
| Frequency class | 11.2 | ||||||||
| Direction | Orthogonal | ||||||||
| Period | 4 (mod: 2) | ||||||||
| Speed | c/2 | 2c/4 | ||||||||
| Heat | 11 | ||||||||
| Kinetic symmetry | n-c | ||||||||
| Discovered by | John Conway | ||||||||
| Year of discovery | 1970 | ||||||||
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The lightweight spaceship (commonly abbreviated to LWSS) or (rarely) small fish[1] is the smallest orthogonal spaceship, and the second most common spaceship after the glider. It moves at speed c/2 and has period 4 (and is therefore often referred to as 2c/4). It was found by John Conway in 1970.
Tagalong
In April 1992, David Bell found a tagalong for two lightweight spaceships (also works with middleweight spaceships or heavyweight spaceships replacing either or both LWSS). It can be extended indefinitely by attaching it to the back of itself. Interestingly, a hivenudger with symmetric rear (that is, both rear spaceships being of same "weight") can pull this tagalong.
| Tagalong for two lightweight spaceships (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
Construction
| Four 3G syntheses for the LWSS (click above to open LifeViewer) |
A number of different ways to construct a LWSS can be found in Mark Niemiec's glider synthesis database;[2] above are shown three-glider syntheses.
A three-object one-glider seed for the lightweight spaceship, consisting of two blocks and a beehive, is used in the pattern Patterns/Life/Breeders/switch-engine-breeder-MR.rle included in Golly's pattern collection. The seed constellation itself can be constructed with four gliders,[3] leading to a way of constructing the LWSS using 5 gliders.
A different one-glider seed that fits inside a 12 × 12 square can be found in the octohash database;[4] it is a constellation of a blinker and an eater 1, itself constructible with four gliders.[5] There are 60 matches in the octo3obj database which are clean one-glider seeds for the LWSS.[6]
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Occurrence
- See also: List of natural spaceships
Random soups investigated by Achim Flammenkamp emitted one LWSS for approximately every 615 gliders.[7] The LWSS is also the eighteenth most common object on Adam P. Goucher's Catagolue.[8]
There are 731 results in the octohash database,[note 1] 6563 results in the octo3obj database,[note 2] and 1009 results in the octo3g database[note 3] with at least one escaping LWSS.
See also
- Fake xWSS
- Middleweight spaceship, Heavyweight spaceship, LWSS on MWSS 1, LWSS on HWSS 1
- Lightweight emulator
- Toaster
- Infinite LWSS hotel
- G-to-LWSS
- LWSS-LWSS bounce
- LWSS-LWSS deflection
- LWSS-glider bounce
Notes
- ↑ There are two collisions, each with two escaping LWSSes. One collision (headerless RLE 8b2o$9bo$b2o6bobo$obo2b2o3b2o$2o2b2o$6bo!) has final population 158. The other collision (b2o$obo$2o6b2o$9bo$9bobo$10b2o2$12bo$11b2o$11bobo!) has final population alternating between 367 and 373.
- ↑ There are 28 results where two lightweight spaceships escape.
- ↑ There is one collision (headerless RLE obo$b2o$bo75$75bo$76b2o$75b2o$80bo$79b2o$79bobo!) with two escaping lightweight spaceships. The final population is 377.
References
- ↑ "Small fish". The Life Lexicon. Stephen Silver. Retrieved on June 10, 2009.
- ↑ The 1 nine-bit spaceship at Mark D. Niemiec's Life Page (download pattern file: ss/9lw.rle)
- ↑ xs14_696y6oozy5cc at Adam P. Goucher's Catagolue (pseudo-object)
- ↑ Repository on GitHub
- ↑ xp2_354cxs at Adam P. Goucher's Catagolue (pseudo-object)
- ↑ Dave Greene (October 21, 2022). Re: Octohash fingerprints (discussion thread) at the ConwayLife.com forums
- ↑ "Spontaneous appeared Spaceships out of Random Dust". Achim Flammenkamp (December 9, 1995). Retrieved on August 18, 2011.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
External links
- LWSS at the Life Lexicon
- Lightweight spaceship at Adam P. Goucher's Catagolue
- Lightweight Spaceship at Heinrich Koenig's Game of Life Object Catalogs
- Life (B3/S23) at David Eppstein's Glider Database
- LWSS on LWSS at Adam P. Goucher's Catagolue (pseudo-object)
- xWSS Tagalong at Adam P. Goucher's Catagolue
- Patterns
- Patterns with Catagolue frequency class 11
- Natural periodic objects
- Spaceships with 9 cells
- Periodic objects with minimum population 9
- Patterns with 9 cells
- Patterns found by John Conway
- Patterns found in 1970
- Patterns that can be constructed with 3 gliders
- Spaceships
- Spaceships with period 4
- Orthogonal spaceships
- Spaceships with speed c/2
- Spaceships with unsimplified speed 2c/4
- Spaceships with heat 11
- XWSS variants
- Spaceships with mod 2
- Spaceships with n-c symmetry
- Polyominoes